Super-Dense Sets and Their Role in the Theory of Normal Numbers
Fuente:
arXiv
Saved in:
| Main Author: | Manai, Chokri |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Transcendence Meets Normality: Construction of Transcendentally Normal Numbers
by: Manai, Chokri
Published: (2025)
by: Manai, Chokri
Published: (2025)
Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits
by: Klymchuk, S. O., et al.
Published: (2026)
by: Klymchuk, S. O., et al.
Published: (2026)
Asymptotic mean of digits of the $Q_s$-representation of the fractional part of a real number and related problems of fractal geometry and fractal analysis
by: Pratsiovytyi, M. V., et al.
Published: (2026)
by: Pratsiovytyi, M. V., et al.
Published: (2026)
Linear fractals of the Besicovitch-Eggleston type
by: Pratsiovytyi, M. V., et al.
Published: (2026)
by: Pratsiovytyi, M. V., et al.
Published: (2026)
Transformations and functions that preserve the asymptotic mean of digits in the ternary representation of a number
by: Pratsiovytyi, M. V., et al.
Published: (2026)
by: Pratsiovytyi, M. V., et al.
Published: (2026)
Topological, metric and fractal properties of the set of real numbers with a given asymptotic mean of digits in their $4$-adic representation in the case when the digit frequencies exist
by: Pratsiovytyi, M. V., et al.
Published: (2026)
by: Pratsiovytyi, M. V., et al.
Published: (2026)
Resurgence, Habiro elements and strange identities
by: Crew, Samuel, et al.
Published: (2023)
by: Crew, Samuel, et al.
Published: (2023)
Singular distributions of random variables with independent digits of representation in numeral system with natural base and redundant alphabet
by: Pratsiovytyi, Mykola, et al.
Published: (2026)
by: Pratsiovytyi, Mykola, et al.
Published: (2026)
Fractal functions defined in terms of number representations in systems with a redundant alphabet
by: Pratsiovytyi, M. V., et al.
Published: (2026)
by: Pratsiovytyi, M. V., et al.
Published: (2026)
Signatures in TQFT : Asymptotics and Modularity
by: Marché, Julien, et al.
Published: (2025)
by: Marché, Julien, et al.
Published: (2025)
On one class of nowhere non-monotonic functions with fractal properties that contains a subclass of singular functions
by: Klymchuk, S. O., et al.
Published: (2026)
by: Klymchuk, S. O., et al.
Published: (2026)
A conjecture of Zagier and the value distribution of quantum modular forms
by: Aistleitner, Christoph, et al.
Published: (2021)
by: Aistleitner, Christoph, et al.
Published: (2021)
Seifert surfaces in the four-ball and composition of binary quadratic forms
by: Aka, Menny, et al.
Published: (2023)
by: Aka, Menny, et al.
Published: (2023)
On the behavior of the colored Jones polynomial of the figure-eight knot under modular transformations
by: Aistleitner, Christoph, et al.
Published: (2025)
by: Aistleitner, Christoph, et al.
Published: (2025)
A framework for proving quantum modularity: Application to Witten's asymptotic expansion conjecture
by: Murakami, Yuya
Published: (2025)
by: Murakami, Yuya
Published: (2025)
Multiplicities in the length spectrum and growth rate of Salem numbers
by: Grebennikov, Alexandr
Published: (2023)
by: Grebennikov, Alexandr
Published: (2023)
A Normality Conjecture on Rational Base Number Systems
by: Andrieu, Mélodie, et al.
Published: (2025)
by: Andrieu, Mélodie, et al.
Published: (2025)
Quantum modularity of signatures in TQFT and generalized Dedekind sums
by: Murakami, Yuya
Published: (2026)
by: Murakami, Yuya
Published: (2026)
Normality of algebraic numbers and the Riemann zeta function
by: Kanado, Yuya, et al.
Published: (2024)
by: Kanado, Yuya, et al.
Published: (2024)
A new family of expansions of real numbers
by: Neunhäuserer, Jörg
Published: (2024)
by: Neunhäuserer, Jörg
Published: (2024)
Maillet's property and Mahler's Conjecture on Liouville numbers fail for matrices
by: Schleischitz, Johannes
Published: (2024)
by: Schleischitz, Johannes
Published: (2024)
Closed geodesics in short intervals for random hyperbolic surfaces
by: Rudnick, Zeev
Published: (2026)
by: Rudnick, Zeev
Published: (2026)
Transposes in the $q$-deformed modular group and their applications to $q$-deformed rational numbers
by: Ren, Xin, et al.
Published: (2025)
by: Ren, Xin, et al.
Published: (2025)
Finiteness of specializations of the $q$-deformed modular group at roots of unity
by: Byakuno, Takuma, et al.
Published: (2026)
by: Byakuno, Takuma, et al.
Published: (2026)
Convergence exponent of Pierce expansion digit sequences
by: Ahn, Min Woong
Published: (2023)
by: Ahn, Min Woong
Published: (2023)
A Non-Trivial Minoration for the Set of Salem Numbers
by: Verger-Gaugry, Jean-Louis
Published: (2024)
by: Verger-Gaugry, Jean-Louis
Published: (2024)
Erdős-Wintner theorem for linear recurrent bases
by: Verwee, Johann
Published: (2025)
by: Verwee, Johann
Published: (2025)
On the Alexander polynomials of modular knots
by: Kang, Soon-Yi, et al.
Published: (2025)
by: Kang, Soon-Yi, et al.
Published: (2025)
Salem numbers less than 49/37
by: Sac-Épée, Jean-Marc
Published: (2024)
by: Sac-Épée, Jean-Marc
Published: (2024)
Algorithmic aspects of Newman polynomials and their divisors
by: Idris, Musbahu, et al.
Published: (2026)
by: Idris, Musbahu, et al.
Published: (2026)
Small degree Salem numbers with trace -3
by: Sac-Épée, Jean-Marc
Published: (2024)
by: Sac-Épée, Jean-Marc
Published: (2024)
The Theory of Normality for Dynamically Generated Cantor Series Expansions
by: Farhangi, Sohail, et al.
Published: (2025)
by: Farhangi, Sohail, et al.
Published: (2025)
Conditional estimates for $L$-functions in the Selberg class
by: Palojärvi, Neea, et al.
Published: (2022)
by: Palojärvi, Neea, et al.
Published: (2022)
Conditional estimates for $L$-functions in the Selberg class II
by: Palojärvi, Neea, et al.
Published: (2024)
by: Palojärvi, Neea, et al.
Published: (2024)
Explicit conditional bounds for $ζ(s)$ at the edge of the critical strip
by: Chirre, Andrés, et al.
Published: (2026)
by: Chirre, Andrés, et al.
Published: (2026)
The Thomae Function: Fractal Insights
by: Lamby, Thomas, et al.
Published: (2025)
by: Lamby, Thomas, et al.
Published: (2025)
On Hölder maps and prime gaps
by: Chen, Haipeng, et al.
Published: (2020)
by: Chen, Haipeng, et al.
Published: (2020)
Constructions of normal numbers with infinitely many digits
by: Boonstra, Aafko, et al.
Published: (2024)
by: Boonstra, Aafko, et al.
Published: (2024)
Primitive values of quadratic polynomials in a finite field
by: Booker, Andrew R., et al.
Published: (2018)
by: Booker, Andrew R., et al.
Published: (2018)
Midy's Theorem in non-integer bases and divisibility of Fibonacci numbers
by: Masáková, Zuzana, et al.
Published: (2024)
by: Masáková, Zuzana, et al.
Published: (2024)
Similar Items
-
Transcendence Meets Normality: Construction of Transcendentally Normal Numbers
by: Manai, Chokri
Published: (2025) -
Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits
by: Klymchuk, S. O., et al.
Published: (2026) -
Asymptotic mean of digits of the $Q_s$-representation of the fractional part of a real number and related problems of fractal geometry and fractal analysis
by: Pratsiovytyi, M. V., et al.
Published: (2026) -
Linear fractals of the Besicovitch-Eggleston type
by: Pratsiovytyi, M. V., et al.
Published: (2026) -
Transformations and functions that preserve the asymptotic mean of digits in the ternary representation of a number
by: Pratsiovytyi, M. V., et al.
Published: (2026)